The product of two positive numbers is 21600. If one number is six times the other, the sum of the two numbers is
Let the two numbers be x and y = 6x. Then xy = 21600 ⇒ 6x2 = 21600 ⇒ x2 = 3600 ⇒ x = 60
∴ x + y = x + 6x = 7x = 7(60) = 420
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